By Jean-Louis Auriault, Claude Boutin, Christian Geindreau
Either naturally-occurring and man-made fabrics are usually heterogeneous fabrics shaped of assorted ingredients with diverse homes and behaviours. reviews are typically conducted on volumes of fabrics that include a great number of heterogeneities. Describing those media by utilizing acceptable mathematical types to explain each one constituent seems to be an intractable challenge. in its place they're ordinarily investigated through the use of an similar macroscopic description - relative to the microscopic heterogeneity scale - which describes the general behaviour of the media.
Fundamental questions then come up: Is such an an identical macroscopic description attainable? what's the area of validity of this macroscopic description? The homogenization process offers whole and rigorous solutions to those questions.
This publication goals to summarize the homogenization procedure and its contribution to engineering sciences. Researchers, graduate scholars and engineers will locate the following a unified and concise presentation.
The booklet is split into 4 components whose major themes are
- Introduction to the homogenization procedure for periodic or random media, with emphasis at the physics thinking about the mathematical method and the functions to genuine materials.
- Heat and mass transfers in porous media
- Newtonian fluid circulate in inflexible porous media lower than diversified regimes
- Quasi-statics and dynamics of saturated deformable porous media
Each half is illustrated through numerical or analytical functions in addition to comparability with the self-consistent approach.
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